Complex Variables and Applications

Filename: complex-variables-and-applications.pdf
ISBN: 1259072770
Release Date: 2014-02-01
Number of pages: 461
Author: Brown

Download and read online Complex Variables and Applications in PDF and EPUB Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.

Handbook of Complex Variables

Filename: handbook-of-complex-variables.pdf
ISBN: 0817640118
Release Date: 1999-10-14
Number of pages: 290
Author: Steven G Krantz
Publisher: Springer Science & Business Media

Download and read online Handbook of Complex Variables in PDF and EPUB A convenient reference for the scientist, student, or engineer whose work necessitates the use of the basic concepts in complex analysis, this is a book in which all the ideas and applications of complex analysis and differential equations are treated, as well as the applicable computational software.

Essential Mathematical Methods for Physicists

Filename: essential-mathematical-methods-for-physicists.pdf
ISBN: 9780120598779
Release Date: 2004
Number of pages: 932
Author: Hans-Jurgen Weber
Publisher: Academic Press

Download and read online Essential Mathematical Methods for Physicists in PDF and EPUB This adaptation of Arfken and Weber's bestselling 'Mathematical Methods for Physicists' is a comprehensive, accessible reference for using mathematics to solve physics problems. Introductions and review material provide context and extra support for key ideas, with detailed examples.

Applied Complex Variables for Scientists and Engineers

Filename: applied-complex-variables-for-scientists-and-engineers.pdf
ISBN: 9781139488839
Release Date: 2010-06-24
Number of pages:
Author: Yue Kuen Kwok
Publisher: Cambridge University Press

Download and read online Applied Complex Variables for Scientists and Engineers in PDF and EPUB This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

Handbook of Complex Analysis

Filename: handbook-of-complex-analysis.pdf
ISBN: 0080495176
Release Date: 2004-12-09
Number of pages: 876
Author: Reiner Kuhnau
Publisher: Elsevier

Download and read online Handbook of Complex Analysis in PDF and EPUB Geometric Function Theory is that part of Complex Analysis which covers the theory of conformal and quasiconformal mappings. Beginning with the classical Riemann mapping theorem, there is a lot of existence theorems for canonical conformal mappings. On the other side there is an extensive theory of qualitative properties of conformal and quasiconformal mappings, concerning mainly a prior estimates, so called distortion theorems (including the Bieberbach conjecture with the proof of the Branges). Here a starting point was the classical Scharz lemma, and then Koebe's distortion theorem. There are several connections to mathematical physics, because of the relations to potential theory (in the plane). The Handbook of Geometric Function Theory contains also an article about constructive methods and further a Bibliography including applications eg: to electroxtatic problems, heat conduction, potential flows (in the plane). · A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane).

Complex Analysis and Applications Second Edition

Filename: complex-analysis-and-applications-second-edition.pdf
ISBN: 9781584885535
Release Date: 2005-11-10
Number of pages: 592
Author: Alan Jeffrey
Publisher: CRC Press

Download and read online Complex Analysis and Applications Second Edition in PDF and EPUB Complex Analysis and Applications, Second Edition explains complex analysis for students of applied mathematics and engineering. Restructured and completely revised, this textbook first develops the theory of complex analysis, and then examines its geometrical interpretation and application to Dirichlet and Neumann boundary value problems. A discussion of complex analysis now forms the first three chapters of the book, with a description of conformal mapping and its application to boundary value problems for the two-dimensional Laplace equation forming the final two chapters. This new structure enables students to study theory and applications separately, as needed. In order to maintain brevity and clarity, the text limits the application of complex analysis to two-dimensional boundary value problems related to temperature distribution, fluid flow, and electrostatics. In each case, in order to show the relevance of complex analysis, each application is preceded by mathematical background that demonstrates how a real valued potential function and its related complex potential can be derived from the mathematics that describes the physical situation.

Complex Analysis with Applications to Flows and Fields

Filename: complex-analysis-with-applications-to-flows-and-fields.pdf
ISBN: 9781420071207
Release Date: 2010-09-03
Number of pages: 1029
Author: Luis Manuel Braga da Costa Campos
Publisher: CRC Press

Download and read online Complex Analysis with Applications to Flows and Fields in PDF and EPUB Complex Analysis with Applications to Flows and Fields presents the theory of functions of a complex variable, from the complex plane to the calculus of residues to power series to conformal mapping. The book explores numerous physical and engineering applications concerning potential flows, the gravity field, electro- and magnetostatics, steady heat conduction, and other problems. It provides the mathematical results to sufficiently justify the solution of these problems, eliminating the need to consult external references. The book is conveniently divided into four parts. In each part, the mathematical theory appears in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. Each chapter begins with an introduction or summary and concludes with related topics. The last chapter in each section offers a collection of many detailed examples. This self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.

Complex Analysis with Applications in Science and Engineering

Filename: complex-analysis-with-applications-in-science-and-engineering.pdf
ISBN: 9780387730585
Release Date: 2010-04-23
Number of pages: 477
Author: Harold Cohen
Publisher: Springer Science & Business Media

Download and read online Complex Analysis with Applications in Science and Engineering in PDF and EPUB The Second Edition of this acclaimed text helps you apply theory to real-world applications in mathematics, physics, and engineering. It easily guides you through complex analysis with its excellent coverage of topics such as series, residues, and the evaluation of integrals; multi-valued functions; conformal mapping; dispersion relations; and analytic continuation. Worked examples plus a large number of assigned problems help you understand how to apply complex concepts and build your own skills by putting them into practice. This edition features many new problems, revised sections, and an entirely new chapter on analytic continuation.

Complex Variables

Filename: complex-variables.pdf
ISBN: 9781420010954
Release Date: 2007-09-19
Number of pages: 440
Author: Steven G. Krantz
Publisher: CRC Press

Download and read online Complex Variables in PDF and EPUB From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originating from conformality, Complex Variables: A Physical Approach with Applications and MATLAB explores all facets of this subject, with particular emphasis on using theory in practice. The first five chapters encompass the core material of the book. These chapters cover fundamental concepts, holomorphic and harmonic functions, Cauchy theory and its applications, and isolated singularities. Subsequent chapters discuss the argument principle, geometric theory, and conformal mapping, followed by a more advanced discussion of harmonic functions. The author also presents a detailed glimpse of how complex variables are used in the real world, with chapters on Fourier and Laplace transforms as well as partial differential equations and boundary value problems. The final chapter explores computer tools, including Mathematica®, MapleTM, and MATLAB®, that can be employed to study complex variables. Each chapter contains physical applications drawing from the areas of physics and engineering. Offering new directions for further learning, this text provides modern students with a powerful toolkit for future work in the mathematical sciences.

Mathematik f r konomen

Filename: mathematik-f-r-konomen.pdf
ISBN: 9783800645121
Release Date: 2012-11-13
Number of pages: 476
Author: Alpha C. Chiang
Publisher: Vahlen

Download and read online Mathematik f r konomen in PDF and EPUB Klar und verständlich: Mathematik für Ökonomen. Für viele Studierende der BWL und VWL hat die Mathematik eine ähnliche Anziehungskraft wie bittere Medizin notwendig, aber extrem unangenehm. Das muss nicht sein. Mit diesem Buch gelingt es jedem, die Methoden zu erlernen. Anhand konkreter ökonomischer Anwendungen wird die Mathematik sehr anschaulich erklärt. Schnelle Lernerfolge Von der Wiederholung des Abiturwissens bis zum Niveau aktueller ökonomischer Lehrbücher wird Schritt für Schritt vorgegangen und alle wichtigen Bereiche der Mathematik systematisch erklärt. Der Lernerfolg stellt sich schnell ein: die klare und ausführliche Darstellung sowie die graphische Unterstützung machen es möglich.

Complex Variables for Scientists and Engineers

Filename: complex-variables-for-scientists-and-engineers.pdf
ISBN: 9780486782225
Release Date: 2014-02-19
Number of pages: 608
Author: John D. Paliouras
Publisher: Courier Corporation

Download and read online Complex Variables for Scientists and Engineers in PDF and EPUB This outstanding text for undergraduate students of science and engineering requires only a standard course in elementary calculus. Designed to provide a thorough understanding of fundamental concepts and create the basis for higher-level courses, the treatment features numerous examples and extensive exercise sections of varying difficulty, plus answers to selected exercises. The two-part approach begins with the development of the primary concept of analytic function, advancing to the Cauchy integral theory, the series development of analytic functions through evaluation of integrals by residues, and some elementary applications of harmonic functions. The second part introduces some of the deeper aspects of complex function theory: mapping properties of analytic functions, applications to various vector field problems with boundary conditions, and a collection of further theoretical results. 1990 edition.

Complex Variables

Filename: complex-variables.pdf
ISBN: 9780821869017
Release Date: 2011
Number of pages: 305
Author: Joseph L. Taylor
Publisher: American Mathematical Soc.

Download and read online Complex Variables in PDF and EPUB The text covers a broad spectrum between basic and advanced complex variables on the one hand and between theoretical and applied or computational material on the other hand. With careful selection of the emphasis put on the various sections, examples, and exercises, the book can be used in a one- or two-semester course for undergraduate mathematics majors, a one-semester course for engineering or physics majors, or a one-semester course for first-year mathematics graduate students. It has been tested in all three settings at the University of Utah. The exposition is clear, concise, and lively. There is a clean and modern approach to Cauchy's theorems and Taylor series expansions, with rigorous proofs but no long and tedious arguments. This is followed by the rich harvest of easy consequences of the existence of power series expansions. Through the central portion of the text, there is a careful and extensive treatment of residue theory and its application to computation of integrals, conformal mapping and its applications to applied problems, analytic continuation, and the proofs of the Picard theorems. Chapter 8 covers material on infinite products and zeroes of entire functions. This leads to the final chapter which is devoted to the Riemann zeta function, the Riemann Hypothesis, and a proof of the Prime Number Theorem.